TeSS Training eSupport System

Basic set operations

Whether you are learning computer science, logic, or probability (or a bunch of other things), it can be very, very useful to have this "set" of skills. From what a set is to how we can operate on them, this tutorial will have you familiar with the basics of sets!

Keywords: Independent and dependent events

Basic set operations https://www.khanacademy.org/math/probability/independent-dependent-probability/basic-set-operations http://tess.elixir-uk.org/materials/basic-set-operations Whether you are learning computer science, logic, or probability (or a bunch of other things), it can be very, very useful to have this "set" of skills. From what a set is to how we can operate on them, this tutorial will have you familiar with the basics of sets! Independent and dependent events 2016-08-14

Dependent probability

What's the probability of picking two "e" from the bag in scrabble (assuming that I don't replace the tiles). Well, the probability of picking an 'e' on your second try depends on what happened in the first (if you picked an 'e' the first time around, then there is one less 'e' in the bag). ...

Keywords: Independent and dependent events

Dependent probability https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent-probability http://tess.elixir-uk.org/materials/dependent-probability What's the probability of picking two "e" from the bag in scrabble (assuming that I don't replace the tiles). Well, the probability of picking an 'e' on your second try depends on what happened in the first (if you picked an 'e' the first time around, then there is one less 'e' in the bag). This is just one of many, many type of scenarios involving dependent probability. Independent and dependent events 2016-08-14

Compound, independent events

What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial). In this tutorial, we'll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).

Keywords: Independent and dependent events

Compound, independent events https://www.khanacademy.org/math/probability/independent-dependent-probability/independent-events http://tess.elixir-uk.org/materials/compound-independent-events What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial). In this tutorial, we'll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events). Independent and dependent events 2016-08-14

Venn diagrams and adding probabilities

What is the probability of getting a diamond or an ace from a deck of cards? Well I could get a diamond that is not an ace, an ace that is not a diamond, or the ace of diamonds. This tutorial helps us think these types of situations through a bit better (especially with the help of our good...

Keywords: Independent and dependent events

Venn diagrams and adding probabilities https://www.khanacademy.org/math/probability/independent-dependent-probability/addition-rule-probability http://tess.elixir-uk.org/materials/venn-diagrams-and-adding-probabilities What is the probability of getting a diamond or an ace from a deck of cards? Well I could get a diamond that is not an ace, an ace that is not a diamond, or the ace of diamonds. This tutorial helps us think these types of situations through a bit better (especially with the help of our good friend, the Venn diagram). Independent and dependent events 2016-08-14

Basic probability

Can I pick a red frog out of a bag that only contains marbles? Is it smart to buy a lottery ticket? Even if we are unsure about whether something will happen, can we start to be mathematical about the "chances" of an event (essentially realizing that some things are more likely than others). ...

Keywords: Independent and dependent events

Basic probability https://www.khanacademy.org/math/probability/independent-dependent-probability/basic-probability http://tess.elixir-uk.org/materials/basic-probability Can I pick a red frog out of a bag that only contains marbles? Is it smart to buy a lottery ticket? Even if we are unsure about whether something will happen, can we start to be mathematical about the "chances" of an event (essentially realizing that some things are more likely than others). This tutorial will introduce us to the tools that allow us to think about random events. Independent and dependent events 2016-08-14

Making decisions with probability

Making decisions with probability from Khan Academy Statistics

Keywords: Probability and combinatorics

Making decisions with probability https://api.khanacademy.org/math/probability/probability-and-combinatorics-topic/decisions-with-probability http://tess.elixir-uk.org/materials/making-decisions-with-probability Making decisions with probability from Khan Academy Statistics Probability and combinatorics 2016-08-14

Probability using combinatorics

This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability. You'll finally learn that there may be better "investments" than poring all your money into the Powerball Lottery.

Keywords: Probability and combinatorics

Probability using combinatorics https://api.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability-combinatorics http://tess.elixir-uk.org/materials/probability-using-combinatorics This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability. You'll finally learn that there may be better "investments" than poring all your money into the Powerball Lottery. Probability and combinatorics 2016-08-14

Combinations

You are already familiar with calculating permutation ("How many ways could 7 different people sit in 4 different seats?"). But what if you didn't care about which seat they sat in? What if you just cared about which 4 people were in the car? Or put another way, you want to know how many...

Keywords: Probability and combinatorics

Combinations https://api.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics http://tess.elixir-uk.org/materials/combinations You are already familiar with calculating permutation ("How many ways could 7 different people sit in 4 different seats?"). But what if you didn't care about which seat they sat in? What if you just cared about which 4 people were in the car? Or put another way, you want to know how many combinations of 4 people can you stick in the car from a pool of 7 candidates. Or how many ways are there to choose 4 things from a pool of 7? Look no further than this tutorial to answer your questions. Probability and combinatorics 2016-08-14

Permutations

You want to display your Chuck Norris dolls on your desk at school and there is only room for five of them. Unfortunately, you own 50. How many ways can you pick the dolls and arrange them on your desk?

Keywords: Probability and combinatorics

Permutations https://api.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations http://tess.elixir-uk.org/materials/permutations You want to display your Chuck Norris dolls on your desk at school and there is only room for five of them. Unfortunately, you own 50. How many ways can you pick the dolls and arrange them on your desk? Probability and combinatorics 2016-08-14

Categorical data

Categorical data from Khan Academy Statistics

Keywords: Statistical studies

Categorical data https://www.khanacademy.org/math/probability/statistical-studies/categorical-data http://tess.elixir-uk.org/materials/categorical-data Categorical data from Khan Academy Statistics Statistical studies 2016-08-14

Hypothesis testing

Hypothesis testing from Khan Academy Statistics

Keywords: Statistical studies

Hypothesis testing https://www.khanacademy.org/math/probability/statistical-studies/hypothesis-test http://tess.elixir-uk.org/materials/hypothesis-testing Hypothesis testing from Khan Academy Statistics Statistical studies 2016-08-14

Types of statistical studies

Types of statistical studies from Khan Academy Statistics

Keywords: Statistical studies

Types of statistical studies https://www.khanacademy.org/math/probability/statistical-studies/types-of-studies http://tess.elixir-uk.org/materials/types-of-statistical-studies Types of statistical studies from Khan Academy Statistics Statistical studies 2016-08-14

Statistical questions

Statistical questions from Khan Academy Statistics

Keywords: Statistical studies

Statistical questions https://www.khanacademy.org/math/probability/statistical-studies/statistical-questions http://tess.elixir-uk.org/materials/statistical-questions Statistical questions from Khan Academy Statistics Statistical studies 2016-08-14

Sal's old statistics videos

This tutorial covers central tendency and dispersion. It is redundant with the other tutorials on this topic, but it has the benefit of messy handwriting and a cheap microphone. This is Sal circa 2007 so take it all with a grain of salt (or just skip it altogether).

Keywords: Descriptive statistics

Sal's old statistics videos https://www.khanacademy.org/math/probability/descriptive-statistics/old-stats-videos http://tess.elixir-uk.org/materials/sal-s-old-statistics-videos This tutorial covers central tendency and dispersion. It is redundant with the other tutorials on this topic, but it has the benefit of messy handwriting and a cheap microphone. This is Sal circa 2007 so take it all with a grain of salt (or just skip it altogether). Descriptive statistics 2016-08-14

Variance and standard deviation

We have tools (like the arithmetic mean) to measure central tendency and are now curious about representing how much the data in a set varies from that central tendency. In this tutorial we introduce the variance and standard deviation (which is just the square root of the variance) as two...

Keywords: Descriptive statistics

Variance and standard deviation https://www.khanacademy.org/math/probability/descriptive-statistics/variance-std-deviation http://tess.elixir-uk.org/materials/variance-and-standard-deviation We have tools (like the arithmetic mean) to measure central tendency and are now curious about representing how much the data in a set varies from that central tendency. In this tutorial we introduce the variance and standard deviation (which is just the square root of the variance) as two commonly used tools for doing this. Descriptive statistics 2016-08-14

Box-and-whisker plots

Whether you're looking at scientific data or stock price charts, box-and-whisker plots can show up in your life. This tutorial covers what they are, how to read them and how to construct them. We'd consider this tutorial very optional, but it is a good application of dealing with medians and...

Keywords: Descriptive statistics

Box-and-whisker plots https://www.khanacademy.org/math/probability/descriptive-statistics/box-and-whisker-plots http://tess.elixir-uk.org/materials/box-and-whisker-plots Whether you're looking at scientific data or stock price charts, box-and-whisker plots can show up in your life. This tutorial covers what they are, how to read them and how to construct them. We'd consider this tutorial very optional, but it is a good application of dealing with medians and ranges. Descriptive statistics 2016-08-14

Measures of central tendency

This is the foundational tutorial for the rest of statistics. We start thinking about how you can represent a set of numbers with one number that somehow represents the "center". We then talk about the differences between populations, samples, parameters and statistics.

Keywords: Descriptive statistics

Measures of central tendency https://www.khanacademy.org/math/probability/descriptive-statistics/central-tendency http://tess.elixir-uk.org/materials/measures-of-central-tendency This is the foundational tutorial for the rest of statistics. We start thinking about how you can represent a set of numbers with one number that somehow represents the "center". We then talk about the differences between populations, samples, parameters and statistics. Descriptive statistics 2016-08-14

Poisson process

Poisson process from Khan Academy Statistics

Keywords: Random variables and probability distributions

Poisson process https://www.khanacademy.org/math/probability/random-variables-topic/poisson-process http://tess.elixir-uk.org/materials/poisson-process Poisson process from Khan Academy Statistics Random variables and probability distributions 2016-08-14

Binomial distribution

Binomial distribution from Khan Academy Statistics

Keywords: Random variables and probability distributions

Binomial distribution https://www.khanacademy.org/math/probability/random-variables-topic/binomial-distribution http://tess.elixir-uk.org/materials/binomial-distribution Binomial distribution from Khan Academy Statistics Random variables and probability distributions 2016-08-14

Expected value

Now that we know what a random variable is, we can think about expected value. As we'll see, it can be viewed as a probability-weighted average of possible outcomes!

Keywords: Random variables and probability distributions

Expected value https://www.khanacademy.org/math/probability/random-variables-topic/expected-value http://tess.elixir-uk.org/materials/expected-value Now that we know what a random variable is, we can think about expected value. As we'll see, it can be viewed as a probability-weighted average of possible outcomes! Random variables and probability distributions 2016-08-14

Random variables and probability distributions

Random variables and probability distributions from Khan Academy Statistics

Keywords: Random variables and probability distributions

Random variables and probability distributions https://www.khanacademy.org/math/probability/random-variables-topic/random-variables-prob-dist http://tess.elixir-uk.org/materials/random-variables-and-probability-distributions Random variables and probability distributions from Khan Academy Statistics Random variables and probability distributions 2016-08-14

Residuals

Residuals from Khan Academy Statistics

Keywords: Regression

Residuals https://www.khanacademy.org/math/probability/regression/residuals http://tess.elixir-uk.org/materials/residuals Residuals from Khan Academy Statistics Regression 2016-08-14

Linear regression and correlation

Even when there might be a rough linear relationship between two variables, the data in the real-world is never as clean as you want it to be. This tutorial helps you think about how you can best fit a line to the relationship between two variables.

Keywords: Regression

Linear regression and correlation https://www.khanacademy.org/math/probability/regression/regression-correlation http://tess.elixir-uk.org/materials/linear-regression-and-correlation Even when there might be a rough linear relationship between two variables, the data in the real-world is never as clean as you want it to be. This tutorial helps you think about how you can best fit a line to the relationship between two variables. Regression 2016-08-14

Scatter plots

Scatter plots from Khan Academy Statistics

Keywords: Regression

Scatter plots https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots http://tess.elixir-uk.org/materials/scatter-plots Scatter plots from Khan Academy Statistics Regression 2016-08-14

Analysis of variance

You already know a good bit about hypothesis testing with one or two samples. Now we take things further by making inferences based on three or more samples. We'll use the very special F-distribution to do it (F stands for "fabulous").